Local and 2-local derivations on filiform associative algebras

2023/05/24 by Kobiljon Abdurasulov, Sh. A. Ayupov, Abdurasulov, K. K. +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling

paper · pdf · doi:10.48550/arxiv.2305.15339

openalex publication_date 2023/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the study of local and 2-local derivations of nullfiliform, filiform and naturally graded quasi-filiform associative algebras. We prove that these algebras as a rule admit local derivations which are not derivations. We show that filiform and naturally graded quasi-filiform associative algebras admit 2-local derivations which are not derivations and any 2-local derivation of null-filiform associative algebras is a derivation.

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